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Finding the Fourth Proportional to 72,462, 108,420.48 and 42,893.76

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Solution

The fourth proportional to 72,462, 108,420.48 and 42,893.76 is: 64,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,462 : 108,420.48 = 42,893.76 : x
  2. Step 2: Convert to fraction form
    72,462/108,420.48 = 42,893.76/x
  3. Step 3: Cross multiply
    72,462x = 108,420.48 × 42,893.76
  4. Step 4: Simplify right side
    72,462x = 4,650,562,048.20
  5. Step 5: Solve for x
    x = 4,650,562,048.20/72,462
  6. Step 6: Final answer
    x = 64,179.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.